1120101101120 has 56 divisors (see below), whose sum is σ = 2717566085304. Its totient is φ = 439586840576.

The previous prime is 1120101101083. The next prime is 1120101101123. The reversal of 1120101101120 is 211011010211.

It can be written as a sum of positive squares in 4 ways, for example, as 114926424064 + 1005174677056 = 339008^2 + 1002584^2 .

It is not an unprimeable number, because it can be changed into a prime (1120101101123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33004889 + ... + 33038808.

It is an arithmetic number, because the mean of its divisors is an integer number (48527965809).

Almost surely, 2^{1120101101120} is an apocalyptic number.

1120101101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1120101101120 is an abundant number, since it is smaller than the sum of its proper divisors (1597464984184).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1120101101120 is an equidigital number, since it uses as much as digits as its factorization.

1120101101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66043767 (or 66043757 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 1120101101120 its reverse (211011010211), we get a palindrome (1331112111331).

Subtracting from 1120101101120 its reverse (211011010211), we obtain a palindrome (909090090909).

It can be divided in two parts, 1120101 and 101120, that added together give a palindrome (1221221).

The spelling of 1120101101120 in words is "one trillion, one hundred twenty billion, one hundred one million, one hundred one thousand, one hundred twenty".